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Finding the Fourth Proportional to 1,506.77, 2,260.16 and 532.95

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Solution

The fourth proportional to 1,506.77, 2,260.16 and 532.95 is: 799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.77 : 2,260.16 = 532.95 : x
  2. Step 2: Convert to fraction form
    1,506.77/2,260.16 = 532.95/x
  3. Step 3: Cross multiply
    1,506.77x = 2,260.16 × 532.95
  4. Step 4: Simplify right side
    1,506.77x = 1,204,549.61
  5. Step 5: Solve for x
    x = 1,204,549.61/1,506.77
  6. Step 6: Final answer
    x = 799.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.